A manufacturing operation consists of a single-machine-tool system that produces

Question

A manufacturing operation consists of a single-machine-tool system that produces an average of 15.5 transformer parts every hour. The production of transformers is assumed to be normally distributed. The system was monitored and observed the number of parts produced in each of 17 randomly selected one-hour periods. The mean and standard deviation of the 17 production runs are 15.42 and 0.16, respectively. Does this provide evidence that the true mean number of parts produced every hour differs from 15.5? Test at alpha 0.05.

Explanation / Answer

To testing of hypothesis problem is Ho=15.5 ag H1 =|= 15.5

Now we will perform a t test

t=xbar - u0/n*s

= 15.42-15.5/17*0.16

=-0.121268

Now t 0.05,16 = 2.120

So at alpha =0.05 we reject null hypothesis as statistic t < tabular t...

So this provide evidence that the true mean number of parts produced every hour differ from 15.5

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